#include <cstdio>
#include <iostream>
#include <vector>
#include <map>
#include <unordered_map>
#include <set>
#include <unordered_set>
#include <string>
#include <cstring>
#include <sstream>
#include <algorithm>
#include <functional>
#include <queue>
#include <stack>
#include <cmath>
#include <iomanip>
#include <list>
#include <tuple>
#include <bitset>
#include <ciso646>
#include <cassert>

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> P;
typedef tuple<ll, ll, ll> T;
typedef vector<ll> vec;

inline bool check(ll x, ll y, ll xMax, ll yMax) { return x >= 0 && y >= 0 && xMax > x && yMax > y; }
inline int toint(string s) { int v; istringstream sin(s); sin >> v; return v; }
template<class T> inline string tostring(T x) { ostringstream sout; sout << x; return sout.str(); }
template<class T> inline T sqr(T x) { return x*x; }
template<class T> inline T mypow(T x, ll n) { T res = 1; while (n > 0) { if (n & 1)res = res * x;	x = x * x;	n >>= 1; }return res; }
inline ll gcd(ll a, ll b) { return b ? gcd(b, a%b) : a; }
inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; }

#define For(i,a,b)	for(ll (i) = (a);i < (b);(i)++)
#define rep(i,n)	For(i,0,n)
#define rFor(i,a,b)	for(ll (i) = (a-1);i >= (b);(i)--)
#define rrep(i,n)	rFor(i,n,0)
#define each(i,n)	for(auto &i : n)
#define clr(a)		memset((a), 0 ,sizeof(a))
#define mclr(a)		memset((a), -1 ,sizeof(a))
#define all(a)		(a).begin(),(a).end()
#define sz(a)		(sizeof(a))
#define tostr(a)	tostring(a)
#define dump(val) 	cerr << #val " = " << val << endl;
#define Fill(a,v)	fill((int*)a,(int*)(a+(sz(a)/sz(*(a)))),v)

const ll dx[8] = { 1, 0, -1, 0, 1, 1, -1, -1 }, dy[8] = { 0, -1, 0, 1, -1, 1, -1, 1 };

const ll mod = 1e9 + 7;
const ll INF = 1e17 + 9;

#define int ll
#define double ld

map<ll, int> prime_factor(ll n) {
	map<ll, int> res;
	for (ll i = 2; i * i <= n; i++) {
		while (n % i == 0) {
			++res[i];
			n /= i;
		}
	}
	if (n != 1)res[n] = 1;
	return res;
}

signed main() {
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	int n, k;
	cin >> n >> k;
	vector<int> a(n);
	vector<map<int, int>> a_primes(n);
	set<int> all_prime;

	for (int i = 0; i < n; i++) {
		cin >> a[i];
		a_primes[i] = prime_factor(a[i]);
		each(p, a_primes[i]) {
			all_prime.insert(p.first);
		}
	}

	map<int, int> prime_max;
	each(prime, all_prime) {
		auto compare = [&](map<int,int> &p0, map<int,int> &p1) {
			if (p0.count(prime) == 0)return false;
			if (p1.count(prime) == 0)return true;
			return p0[prime] > p1[prime];
		};
		sort(all(a_primes), compare);
		rep(i, k) {
			prime_max[prime] += a_primes[i][prime];
		}
	}
	int ans = 1;
	each(p, prime_max) {
		rep(i, p.second) {
			ans *= p.first;
			ans %= mod;
		}
	}
	cout << ans << endl;

	return 0;
}